Solve 7799/85

$$\frac { 7799 } { 85 }$$

Evaluate

$$\frac{7799}{85}\approx 91.752941176$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 7799

$$\begin{array}{l}\phantom{85)}\phantom{1}\\85\overline{)7799}\\\end{array}$$

Since 7 is less than 85, use the next digit 7 from dividend 7799 and add 0 to the quotient

$$\begin{array}{l}\phantom{85)}0\phantom{2}\\85\overline{)7799}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 7799

$$\begin{array}{l}\phantom{85)}0\phantom{3}\\85\overline{)7799}\\\end{array}$$

Since 77 is less than 85, use the next digit 9 from dividend 7799 and add 0 to the quotient

$$\begin{array}{l}\phantom{85)}00\phantom{4}\\85\overline{)7799}\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 7799

$$\begin{array}{l}\phantom{85)}00\phantom{5}\\85\overline{)7799}\\\end{array}$$

Find closest multiple of 85 to 779. We see that 9 \times 85 = 765 is the nearest. Now subtract 765 from 779 to get reminder 14. Add 9 to quotient.

$$\begin{array}{l}\phantom{85)}009\phantom{6}\\85\overline{)7799}\\\phantom{85)}\underline{\phantom{}765\phantom{9}}\\\phantom{85)9}14\\\end{array}$$

Use the 4^{th} digit 9 from dividend 7799

$$\begin{array}{l}\phantom{85)}009\phantom{7}\\85\overline{)7799}\\\phantom{85)}\underline{\phantom{}765\phantom{9}}\\\phantom{85)9}149\\\end{array}$$

Find closest multiple of 85 to 149. We see that 1 \times 85 = 85 is the nearest. Now subtract 85 from 149 to get reminder 64. Add 1 to quotient.

$$\begin{array}{l}\phantom{85)}0091\phantom{8}\\85\overline{)7799}\\\phantom{85)}\underline{\phantom{}765\phantom{9}}\\\phantom{85)9}149\\\phantom{85)}\underline{\phantom{99}85\phantom{}}\\\phantom{85)99}64\\\end{array}$$

Since 64 is less than 85, stop the division. The reminder is 64. The topmost line 0091 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 91.

$$\text{Quotient: }91 \text{Reminder: }64$$

Factor

$$\frac{11 \cdot 709}{5 \cdot 17} = 91\frac{64}{85} = 91.75294117647059$$